Generalized fractional operators for nonstandard Lagrangians

DOI10.1002/mma.3188zbMath1322.49040arXiv1404.6483OpenAlexW1951766374WikidataQ57650627 ScholiaQ57650627MaRDI QIDQ5256778

Delfim F. M. Torres, Giorgio S. Taverna

Publication date: 29 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6483

zbMATH Keywords

dissipative systemsnonstandard Lagrangiansgeneralized fractional operatorsEuler-Lagrange and Hamilton equationsgeneralized fractional calculus of variations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (7)

Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator ⋮ A necessary condition of Pontryagin type for fuzzy fractional optimal control problems ⋮ Unnamed Item ⋮ Complex-Valued Fractional Derivatives on Time Scales ⋮ Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations ⋮ From classical to discrete gravity through exponential non-standard Lagrangians in general relativity ⋮ On a new generalized local fractal derivative operator

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• Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
• Fractional actionlike variational problems
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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